GCD of 289, 160, 43, 890 Calculator

Given Input numbers are 289, 160, 43, 890

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 289, 160, 43, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 160, 43, 890 is 1.

Therefore, GCD of numbers 289, 160, 43, 890 is 1

Given Input Data is 289, 160, 43, 890

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 289 is 17 x 17

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 43 is 43

Prime Factorization of 890 is 2 x 5 x 89

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(289, 160) = 46240

GCD(289, 160) = ( 289 x 160 ) / 46240

GCD(289, 160) = 46240 / 46240

GCD(289, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 289, 160, 43, 890 is 1

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1. What is the GCD of 289, 160, 43, 890?

GCD of 289, 160, 43, 890 is 1

2. Where do I get the detailed procedure to find GCD of 289, 160, 43, 890?

You can find a detailed procedure to find GCD of 289, 160, 43, 890 on our page.

3. How to find GCD of 289, 160, 43, 890 on a calculator?

You can find the GCD of 289, 160, 43, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.